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Finding the Fourth Proportional to 471.00, 649.95 and 302.76

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Solution

The fourth proportional to 471.00, 649.95 and 302.76 is: 417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.00 : 649.95 = 302.76 : x
  2. Step 2: Convert to fraction form
    471.00/649.95 = 302.76/x
  3. Step 3: Cross multiply
    471.00x = 649.95 × 302.76
  4. Step 4: Simplify right side
    471.00x = 196,780.41
  5. Step 5: Solve for x
    x = 196,780.41/471.00
  6. Step 6: Final answer
    x = 417.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.